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Finding the Fourth Proportional to 2,582.38, 3,564.78 and 1,744.22

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Solution

The fourth proportional to 2,582.38, 3,564.78 and 1,744.22 is: 2,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.38 : 3,564.78 = 1,744.22 : x
  2. Step 2: Convert to fraction form
    2,582.38/3,564.78 = 1,744.22/x
  3. Step 3: Cross multiply
    2,582.38x = 3,564.78 × 1,744.22
  4. Step 4: Simplify right side
    2,582.38x = 6,217,751.85
  5. Step 5: Solve for x
    x = 6,217,751.85/2,582.38
  6. Step 6: Final answer
    x = 2,407.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.